2009
Mathematics
67ca00ce0c643c71d77dee1f
Simplify (5+√7)/(3+√7)
A.
17-√7
B.
4-√7
C.
15+√7
D.
7-√7
Correct Answer: 4-√7
Explanation
(5+√7)/(3+√7) = (5+√7)/(3+√7) × (3-√7)/(3-√7) = ((5+√7)(3-√7))/(32-√72 ) = (15-5√7+3√7-7)/(9-7) = (8-2√7)/2. Factorize then divide by 2. =(2(4-√7)/2 = 4-√7
(5+√7)/(3+√7) = (5+√7)/(3+√7) × (3-√7)/(3-√7) = ((5+√7)(3-√7))/(32-√72 ) = (15-5√7+3√7-7)/(9-7) = (8-2√7)/2. Factorize then divide by 2. =(2(4-√7)/2 = 4-√7THIS WEEK's
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